Sharp Rellich-Sobolev inequalities and weighted Adams inequalities involving Hardy terms for bi-Laplacian

被引：2

作者：

Dan, Su ^{[1
]}

Ma, Xing ^{[2
]}

Yang, Qiaohua ^{[2
]}

机构：

[1] Univ Int Business & Econ, Sch Stat, Beijing 100029, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 200卷

基金：

中国国家自然科学基金;

关键词：

Rellich-Sobolev inequality; Adams inequality; Sharp constant; TRUDINGER-MOSER INEQUALITY; EXACT GROWTH CONDITION; RIEMANNIAN-MANIFOLDS; UNBOUNDED-DOMAINS; HYPERBOLIC SPACE; CONSTANTS;

D O I：

10.1016/j.na.2020.112068

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Motivated by a recent work of Dong, Lam and Lu concerning the sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities, we derive a sharp Rellich-Sobolev inequality on R-n with n >= 5 and weighted Adams inequalities involving Hardy terms on R-4. The procedure is based on a quasi-conformal mapping type transform and decomposition into spherical harmonics since the symmetrization arguments do not work in dealing with these inequalities. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：18

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